Pith Number

pith:O4AO65P3

pith:2012:O4AO65P3HX7NE6J4DJILXMN7ZB

not attested not anchored not stored refs pending

Optimal convergence rates for the three-dimensional turbulent flow equations

Boling Guo, Dongfen Bian

arxiv:1204.5323 v1 · 2012-04-24 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4AO65P3HX7NE6J4DJILXMN7ZB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:57:13.496022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7700ef75fb3dfed2793c1a50bbb1bfc841596490f48e038870d875d25a92481c

Aliases

arxiv: 1204.5323 · arxiv_version: 1204.5323v1 · doi: 10.48550/arxiv.1204.5323 · pith_short_12: O4AO65P3HX7N · pith_short_16: O4AO65P3HX7NE6J4 · pith_short_8: O4AO65P3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O4AO65P3HX7NE6J4DJILXMN7ZB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7700ef75fb3dfed2793c1a50bbb1bfc841596490f48e038870d875d25a92481c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1efdf3cee7d378e1c4fe6d6afcf6f5b9824e5d2a509a047cae55c6722d8748ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-24T10:15:25Z",
    "title_canon_sha256": "5fba3b7df2ebb4ee857c6d7af97f3763b2e4665ec11bcd5ab2296e93cc32a37f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5323",
    "kind": "arxiv",
    "version": 1
  }
}